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Finding the Fourth Proportional to 1,680.95, 2,521.78 and 510.88

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Solution

The fourth proportional to 1,680.95, 2,521.78 and 510.88 is: 766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.95 : 2,521.78 = 510.88 : x
  2. Step 2: Convert to fraction form
    1,680.95/2,521.78 = 510.88/x
  3. Step 3: Cross multiply
    1,680.95x = 2,521.78 × 510.88
  4. Step 4: Simplify right side
    1,680.95x = 1,288,334.08
  5. Step 5: Solve for x
    x = 1,288,334.08/1,680.95
  6. Step 6: Final answer
    x = 766.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.